A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices, and four angles. It is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees.
1. QUADRILATERAL A quadrilateral is a closed 2D shape and a type of polygon that has four sides, four vertices and four Properties of quadrilateral 1-A quadrilateral should be closed 2D shape with 4sides 2-The sum of alll the internal angles of a quadrilateral is equal to 360° Type of quadrilateral : There are six type of quadrilateral 1 Trapezium 2 Parallelogram 3 Rectangle 4 Square 5 Rhombus 6 Kite A trapezium (called trapezoid in the US) is a quadrilateral that has only one pair of parallel The parallel sides are called "Bases" and the other two sides are called "Legs" or "Lateral N.B A quadrilateral will be a trapezium if and only if one pair of opposite side are parallel. A parallelogram is a quadrilateral whose opposite sides are parallel. PROPERTIES OF PARALLELOGRAM 1 Opposite sides are equal and parallel. 2 Opposite angles are equal. 3 Diagonals are intersect each other at a point. 4 Sum of any two adjacent angles is 180°
2. N.B- A trapezium will be a parallelogram if and only if the legs of trapezium are equal. A Rectangle is a quadrilateral whose opposite sides are equal and parallel, all the angles are right angle. Properties of rectangle 1 Opposite sides are equal and parallel. 2 Every angle is the right angle. 3 Diagonals bisect each other. 4 Diagonals are equal in length. N.B- (i) A trapezium will be a rectangle if and only if the legs are parallel and every angle are right angle. (ii) A parallelogram will be a rectangle if and only if every angle of the parallelogram is the right Square is a quadrilateral whose every side is equal, opposite sides are parallel and all the angles are right angle. Properties of square 1 Every side is equal. 2 Every angle is the right angle. 3 Diagonals are bisect each other perpendicularly. 4 Diagonals are equal. N.B- (i) Rectangle will be a square if and only if the adjacent sides are equal. (ii) A rhombus will be a square if and only if at least one angle of the rhombus is right angle.
3. A rhombus is a quadrilateral whose all sides are equal in length and opposite sides are parallel. N.B- A rhombus with right angles would become a square. Another name for rhombus is the diamond suit in playing cards. PROPERTIES OF RHOMBUS 1 Every side is equal. 2 Opposite angles are equal. 3 Opposite sides are parallel. 4 Diagonals bisect each other perpendicularly. 5 Sum of any two adjacent angles is 180°. A kite is a quadrilateral whose two pair of adjacent sides are equal.
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